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Finding the Fourth Proportional to 9,815.60, 13,541.22 and 6,542.25

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Solution

The fourth proportional to 9,815.60, 13,541.22 and 6,542.25 is: 9,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.60 : 13,541.22 = 6,542.25 : x
  2. Step 2: Convert to fraction form
    9,815.60/13,541.22 = 6,542.25/x
  3. Step 3: Cross multiply
    9,815.60x = 13,541.22 × 6,542.25
  4. Step 4: Simplify right side
    9,815.60x = 88,590,046.55
  5. Step 5: Solve for x
    x = 88,590,046.55/9,815.60
  6. Step 6: Final answer
    x = 9,025.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.